Question

A line passes through (−1, 7) and (2, 10).

Which answer is the equation of the line?

Answer 1

The correct answer is:  [B]:  " -x + y = 8 " .
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Answer 2

Answer:

Option 2 -  $-x+y=8$

Step-by-step explanation:

Given : A line passes through (-1, 7) and (2, 10).

To find : Which answer is the equation of the line?

Solution :

The two point slope form is given by,

$(y-y_1)=\frac{y_2-y_1}{x_2-x_1}(x-x_1)$

Here, $(x_1,y_1)=(-1,7)$ and $(x_2,y_2)=(2,10)$

Substitute the value in the equation,

$(y-7)=\frac{10-7}{2-(-1)}(x-(-1))$

$(y-7)=\frac{3}{3}(x+1)$

$(y-7)=1(x+1)$

$y-x=1+7$

$-x+y=8$

Therefore, Option 2 is correct.